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Finding the Third Proportional to 274,082 and 597,966

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Solution

The third proportional to 274,082 and 597,966 is: 1,304,585.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,082 : 597,966 = 597,966 : x
  2. Step 2: Convert to fraction form
    274,082/597,966 = 597,966/x
  3. Step 3: Cross multiply
    274,082x = 597,966 × 597,966
  4. Step 4: Simplify right side
    274,082x = 357,563,337,156
  5. Step 5: Solve for x
    x = 357,563,337,156/274,082
  6. Step 6: Final answer
    x = 1,304,585.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.